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Finding the Third Proportional to 292,430 and 637,744

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Solution

The third proportional to 292,430 and 637,744 is: 1,390,819.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    292,430 : 637,744 = 637,744 : x
  2. Step 2: Convert to fraction form
    292,430/637,744 = 637,744/x
  3. Step 3: Cross multiply
    292,430x = 637,744 × 637,744
  4. Step 4: Simplify right side
    292,430x = 406,717,409,536
  5. Step 5: Solve for x
    x = 406,717,409,536/292,430
  6. Step 6: Final answer
    x = 1,390,819.72

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.